You missed a key part of the 12th Amendment. It’s at the very end, and is pretty straightforward.
“But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States.”
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By the way, it’s good that you posted this in chat. It’s not breaking news, of course. Nevertheless, it’s an interesting topic to discuss.
I thought it was, along with being amusing as well. 😁
Heck, some people here think that the NBC (Natural Born Citizen) requirement is not longer relevant That merely being born here makes that person a natural born citizen, and is thus eligible for the office of the Presidency or the Vice President.
One who even claims to work at the State Dept. argued that point with me.